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1304224 = 2553769
BaseRepresentation
bin100111110011010100000
32110021001121
410332122200
5313213344
643542024
714041255
oct4763240
92407047
101304224
11810979
1252a914
1336883c
1425d42c
151ab684
hex13e6a0

1304224 has 24 divisors (see below), whose sum is σ = 2619540. Its totient is φ = 638976.

The previous prime is 1304221. The next prime is 1304227. The reversal of 1304224 is 4224031.

It is an interprime number because it is at equal distance from previous prime (1304221) and next prime (1304227).

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 4624 = 1140^2 + 68^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1304198 and 1304207.

It is not an unprimeable number, because it can be changed into a prime (1304221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1312 + ... + 2080.

21304224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309770).

1304224 is an abundant number, since it is smaller than the sum of its proper divisors (1315316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1304224 is an equidigital number, since it uses as much as digits as its factorization.

1304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1304224 is about 1142.0262694001. The cubic root of 1304224 is about 109.2573667548.

Adding to 1304224 its reverse (4224031), we get a palindrome (5528255).

The spelling of 1304224 in words is "one million, three hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 769 848 1538 1696 3076 6152 12304 24608 40757 81514 163028 326056 652112 1304224